论文标题
QCD分解了准广泛的Gluon分布
QCD Factorization of Quasi Generalized Gluon Distributions
论文作者
论文摘要
我们研究了准Gluon GPD和Twist-2 GPD之间的分解关系。扰动系数函数是在一环水平上获得的。他们没有任何共线或I.R.分歧。与一环Quark GPD分解的情况不同，我们必须为准Gluon GPD的分解添加幽灵贡献，以获得量规不变的结果。通常，操作员将混合在树级以外。我们的工作表明，准Gluon GPD中非局部运算符的混合模式与本地运营商相同，即所考虑的非本地运算符与量规不变的操作员，BRST偏置操作员和涉及EOM操作员的操作员混合。所有准Gluon GPD都获得了分解关系。采用正向极限，我们还获得了准Gluon PDF和Twist-2 PDF之间的关系。
We study the factorization relations between quasi gluon GPDs and twist-2 GPDs. The perturbative coefficient functions are obtained at one-loop level. They are free from any collinear- or I.R. divergences. Unlike the case of the factorization of quasi quark GPDs at one-loop, we have to add ghost contributions for the factorization of quasi gluon GPDs in order to obtain gauge-invariant results. In general, operators will be mixed beyond tree-level. Our work shows that the mixing pattern of the nonlocal operators in quasi gluon GPDs is the same as local operators, i.e., the nonlocal operators considered are mixed with gauge-invariant operators, BRST-variation operators and operators involving EOM operator. The factorization relations are obtained for all quasi gluon GPDs. Taking the forward limit, we also obtain the relations between quasi gluon PDFs and twist-2 PDFs.
